20782992888 has 192 divisors, whose sum is σ = 67171104000. Its totient is φ = 5799608640.

The previous prime is 20782992859. The next prime is 20782992899. The reversal of 20782992888 is 88829928702.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1052143 + ... + 1071713.

It is an arithmetic number, because the mean of its divisors is an integer number (349849500).

Almost surely, 2^20782992888 is an apocalyptic number.

20782992888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20782992888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33585552000).

20782992888 is an abundant number, since it is smaller than the sum of its proper divisors (46388111112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20782992888 is a wasteful number, since it uses less digits than its factorization.

20782992888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19647 (or 19626 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 20782992888 in words is "twenty billion, seven hundred eighty-two million, nine hundred ninety-two thousand, eight hundred eighty-eight".